b. Large scale production of ethylene was conducted in a PFR from cracking a feed stream of pure ethane (gas-phase reaction). This reaction is irreversible and follows an elementary rate law. The reactor was operated isothermally at 1100 K and at a pressure of 607.95 kPa. The specific reaction rate constant at 1100 K is 3.07 s' and the activation energy is 82000 cal/mol. The reaction is as shown below, C2H6 + C2H4 + H2 Determine the volume of the PFR (unit: dm) required if the target production rate is 136.2 million kilogram per year and achieve 80% conversion. (Note: Molecular weight of ethylene - 28.05 g/mol, R - 8.314 kPa.dm /mol K) (8 marks) (Total: 25 marks) to